Mathematics tutors' views on benefits and challenges of using Algebra tiles in teaching linear equations in one variable



This study examines the views of mathematics tutors on the benefits and challenges of using algebra tiles in solving linear equations with one variable. The qualitative research paradigm was used with a case study design. The sampling technique used was purposive with four mathematics tutors as the sample. The instrument was semi-structured open-ended interview guides. The findings revealed, among others, that the benefits of algebra tiles in solving linear equations with one variable includes (1) helping students to distinguish between coefficients and constant values, (2) the best way for teachers to explain the neutralization of equal positive and negative values. While some of the challenges of algebra tiles are (1) teachers lack the knowledge to use the algebra tiles, (2) non- availability, and inadequacy of algebra tiles.


Algebra tiles, benefits, challenges, college Mathematics teachers

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Amidu, B., Salifu, A. S., & Nyarko, S. (2020). The effect of Algebra tiles manipulative on preservice teacher’s Mathematics knowledge in teaching basic Algebra. International Journal of Mathematics and Statistics Studies, 8(2), 26-39.

Boakye, K. (2018). The use of manipulatives in teaching Mathematics in upper primary schools in Antoa Community, Ghana. Theses, Presbyterian University College, Ghana.

Brooke, E. B. (2014). The effectiveness of manipulative materials in a high school Algebra II class. Online Theses and Dissertations. 236. Ball State University - Eastern Kentucky University, USA. Retrieved from

Bruner, J. S. (1960). The process of education. USA: Harvard University Press.

Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31(1), 21-32.

Çaylan, B. (2018). The effects of using Algebra tiles on sixth grade students’ Algebra achievement, algebraic thinking and views about using Algebra tiles. Masters thesis, Middle East Technical University, Turkey. Retrieved from

Chappell, M. F., & Strutchens, M. E. (2001). Creating connections: Promoting algebraic thinking with concrete models. Mathematics teaching in the Middle School. Reston, VA: National Council of Teachers of Mathematics.

Cooper, T. E. (2012). Using virtual manipulative materials with pre-service Mathematics teachers to create representational models. International Journal for Technology in Mathematics Education, 19(3), 105-115.

Erden, M., & Akman, Y. (2009). Educational Psychology: Development-Learning-Teaching. Ankara: Friends Publishing House.

Fennema, E. (1972). The relative effectiveness of a symbolic and a concrete model in learning a selected mathematical principle. Journal for Research in Mathematics Education, 3(4), 233-238.

Fennema, E. (1973). Manipulatives in the classroom. Arithmetic Teacher, 20(5), 350-352.

Florence, H. (2012). The effects of Mathematics manipulative materials. Retrieved from http://www.ehow.

Hall, N. (1998). Concrete representations and the procedural analogy theory. Journal of Mathematical Behaviour, 17(1), 33-51.

Huitt, W., & Hummel, J. (2003). Piaget's theory of cognitive development. Educational Psychology Interactive. Valdosta, GA: Valdosta State University.

Magruder, R. L. (2012). Solving linear equations: a comparison of concrete and virtual manipulatives in middle school Mathematics. Theses and Dissertations - Curriculum and Instruction, 2. Kentucky, USA: Unknowledge University of Kentucky. Retrieved from

McBride, J. W., & Lamb, C.E. (1986). Using concrete materials to teach basic fractions concepts. School Science and Mathematics, 86(6), 480-488.

McIntosh, G. V. (2012). Testing instrumentation validity for measuring teachers' attitudes toward manipulative use in the elementary classroom. Retrieved from docview/1312423428?accountid=14771.

Ministry of Education (2020). Cabinet Memorandum on Policy reform on Teacher Education in Ghana, Ghana.

Mohd, M., & Mohd, B. N. (2010). The effect of using manipulative materials on the Mathematical achievement of the First Grade students. Damascus University Journal, 26(4), 37-54.

Okpube, N. M. (2016). Card games and algebra tic tacmatics on achievement of junior secondary ii students in algebraic expressions. International Journal of Evaluation and Research in Education, 5(2), 93-100.

Padmore, E. A. (2017). Examining the use of manipulative materials in teaching Mathematics among junior high school teachers in the Wa municipality. MPhil. Thesis, Department of Basic Education of the Faculty of Education, University of Education, Winneba, Ghana.

Piaget, J. (1964). Part I: Cognitive development in children: Piaget development and learning. Journal of Research in Science Teaching, 2(3), 176-186.

Picciotto, H., & Wah, A. (1993). A new algebra: Tool, themes, concepts. Journal of Mathematical Behaviour, 12(1), 19-42.

Reys, R. E. (1971). Considerations for teachers using manipulative materials. Arithmetic Tecaher, 18, 551-558.

Saraswati, S. (2016). Supporting students’ understanding of linear equations with one variable using algebra tiles. Journal on Mathematics Education, 7(1), 21-32.

Saraswati, S., Putri, R. I. I., & Somakim. (2016). Supporting students’ understanding of linear equations with one variable using algebra tiles. Journal on Mathematics Education, 7(1), 19-30.

Senemoglu, N. (2005). Developmental Learning and Teaching: From Theory to Practice. Ankara, Gazi Bookstore.

Sibbald, T. (2009). The relationship between lesson study and self-efficacy. School Science and Mathematics, 109(8), 450-460.

Smith, N. N. (2017). Every math learner, grades 6-12: A doable approach to teaching with learning differences in mind. California: Corwin.

Van de Walle, J. A., Karp, K. S., & Bay Williams, J. M. (2013). Elementary and middle school mathematics: Teaching developmentally. Boston: Pearson.


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